弱Orlicz-Hardy空间之间的鞅变换
Martingale Transforms between Weak Orlicz-Hardy Spaces

作者: 于 林 * , 尹 环 :三峡大学理学院;

关键词: 弱Orlicz-Hardy空间鞅变换Martingale Weak Orlicz-Hardy Space Martingale Transform

摘要:
利用Burkholder的鞅变换为工具,刻画了弱Orlicz-Hardy鞅空间之间的相互关系,构造性地证明了:对于任意的两个Young函数 ,且 (某种意义下),则弱Orlicz-Hardy空间 中的鞅是 中元素的鞅变换;反过来,弱Orlicz-Hardy鞅空间 中的鞅也是 中元素的鞅变换。

Abstract:
Using the technique of Burkholder’s martingale transforms, we investigate the correlations between two weak Orlicz-Hardy spaces of martingales. Let and in be two Young functions and in some sense, a constructive proof is obtained of that the elements in weak Orlicz-Hardy space are none other than the martingale transforms of those in weak Orlicz-Hardy space , and vice versa.

文章引用: 于 林 , 尹 环 (2013) 弱Orlicz-Hardy空间之间的鞅变换。 理论数学, 3, 270-276. doi: 10.12677/PM.2013.34041

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